210 
ME, a. H. DARWIN - ON THE STRESSES 
Table V, 
—Maximum stress-differences due to harmonic continents and seas. 
Order of harmonic. 
2 
4 
6 
8 
10 
12 
Max. stress-difference, in metric tonnes per 
— > 
= J7 
sq. c.m. due to continents 1500 meters high 
Ditto in British, tons per sq. inch, for same 
*858 
*633 
•626 
•625 
•625 
•625 
continents. 
5*48 
4*01 
3’97 
3-96 
3-96 
3-96 
Depth in British miles at which this stress is 
attained. 
f Centre 1 
\ of earth j 
1146 
725 
532 
420 
347 
N.B.—The continents referred to are supposed to he of the earth's mean density and are equivalent to actual 
continents of double the height. 
Thus far we have only considered the stress-differences at the equator immediately 
underneath the centres of the continents, but we must now see how they differ as the 
latitude of the place of observation increases. In order to attain this result a good 
deal of computation was necessary. 
For this purpose I calculated P—Pt and 2T for a number of points and found the 
square root of the sum of these squares. As the computations were laborious, and as 
the results given in the following table are amply sufficient for the purpose in hand, 
I did not think it worth while to trace the changes to a greater depth than r—'l. 
Moreover the correctness of the last significant figures given cannot be guaranteed* 
although I believe that it is correct in most cases. 
Table VI.—Showing the stress-difference due to the several harmonic inequalities 
at various depths and in various latitudes. 
i 
Equator. 
Lat. 6°. 
Lat. 12°. 
i 
Equator. 
Lat, 6°. 
Lat. 12 u . 
r r=l. 
•316 
•316 
■316 
f r—l. 
•021 
•015 
•000 
o , 
r='9 
•736 
•732 
•721 
8 < 
r= *9 
•859 
•853 
•853 
>•=•8 
1-112 
1-108 
1-097 
r=* 8 
•798 
•795 
•797 
La-7 
1-443 
1-440 
1-431 
jr=’7 
•506 
•505 
•507 
r r=l. 
•079 
•074 
•061 
f>= 1- 
■014 
•008 
•007 
4 J 
r=’9 
•727 
•719 
•700 
10 
r=-9 
•857 
•854 
•860 
4 4 
r=’8 
1-044 
1-038 
1-025 
r= *8 
•631 
•630 
•635 
[r=-7 
1-116 
1113 
1-104 
Ia=-7 
•307 
•307 
•309 
fr=l. 
•036 
•031 
•016 
fr= I- 
•010 
•003 
•019 
6 < 
r=-9 
•817 
•810 
•800 
12 < 
r=-9 
•827 
■824 
•835 
r=’8 
•953 
•949 
•945 
r=-8 
■481 
•481 
•486 
r=*7 
•788 
•786 
•785 
L r=, 7 
•179 
•179 
•181 
The numbers given in the column marked “equator ' might be computed from (41), 
